Atkin-Lehner |
2+ 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672a |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
6960853584 = 24 · 39 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-486,-945] |
[a1,a2,a3,a4,a6] |
Generators |
[-1148:2863:64] |
Generators of the group modulo torsion |
j |
40310784/22103 |
j-invariant |
L |
6.6277787468093 |
L(r)(E,1)/r! |
Ω |
1.0866693651958 |
Real period |
R |
6.0991677494488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51336b1 102672c1 |
Quadratic twists by: -4 -3 |